Dianova T. Mathematical simulation of the processes at the fractured domains

Filtration and heat transmission processes in multicomponent domains with thin low- and high pervious inclusions are considered. To achieve this goal, complete complex of the mathematical modeling is accomplished: new border tasks are formulated; with the help of variation approach variation task and task in a weak formulating, defined on the classes of the discontinuous functions, are obtained; generalized tasks solutions are theoretically studied; on the basis of the finite element method using classes of the piece-polynomial discontinuous functions computing algorithms are build and theoretically studied; program complex within the framework of the SARPOK system, operating at the Cybernetics Institute, is developed.